Mazzola Guerino. The Topos of Music IV. Roots: Appendices

2nd Edition. — Springer, 2017. — 353 p. — (Computational Music Science). — ISBN 978-3-319-64494-3.This is the fourth volume of the second edition of the now classic book “The Topos of Music”. The author presents appendices with background material on sound and auditory physiology; mathematical basics such as sets, relations, transformations, algebraic geometry, and categories; complements in physics, including a discussion on string theory; and tables with chord classes and modulation steps.Common Parameter Spaces
Auditory Physiology and Psychology
Sets, Relations, Monoids, Groups
Rings and Algebras
Modules, Linear, and Affine Transformations
Algebraic Geometry
Categories, Topoi, and Logic
Complements on General and Algebraic Topology
Complements on Calculus
More Complements on Mathematics
Complements on Physics
Euler’s Gradus Function
Just and Well-Tempered Tuning
Chord and Third Chain Classes
Two, Three, and Four Tone Motif Classes
Counterpoint StepsConcerning the division of the now very large book into parts, this is the split
Volume I: Theory, Prefaces and Table of Contents, Parts I to VII
Volume II: Performance, Parts VIII to XIV
Volume III: Gestures, Parts XV to XIX
Volume IV: Roots, Appendices